7338 has 8 divisors (see below), whose sum is σ = 14688. Its totient is φ = 2444.

The previous prime is 7333. The next prime is 7349. The reversal of 7338 is 8337.

7338 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

7338 is an admirable number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (7331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 606 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (1836).

2⁷³³⁸ is an apocalyptic number.

7338 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344).

7338 is a wasteful number, since it uses less digits than its factorization.

7338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228.

The product of its digits is 504, while the sum is 21.

The square root of 7338 is about 85.6621269874. The cubic root of 7338 is about 19.4323758821.

Subtracting 7338 from its reverse (8337), we obtain a palindrome (999).

It can be divided in two parts, 733 and 8, that added together give a triangular number (741 = T₃₈).

The spelling of 7338 in words is "seven thousand, three hundred thirty-eight".